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Alinara [238K]
3 years ago
8

The way in which response options are presented in a question can affect a person's response. One hundred randomly selected peop

le were asked about their tea or coffee preference. Fifty of the participants were randomly given the option of tea first and the remaining 50 participants were given the option of coffee first. The results are given in the table
To conclude if the order in which options are presented in a question affects the answer, a two-proportion z-test was conducted. What is the correct p-value of the test?

0.1608

1.0050

0.1710

0.0594

0.4500

Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

.1608

Step-by-step explanation:

just took the test

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The distance from Earth to the moon is about 4×10 5 kilometers. The distance from Earth to Mars is about 5×10 7 kilometers. Use
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The difference is two order of magnitudes, write down in the space 200
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3 years ago
A ferry traveled 1 6 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in 3 7 7 3 ​ start f
docker41 [41]

Answer:

\frac{7}{18} of the distance

Step-by-step explanation:

We know that a ferry traveled \frac{1}{6} of the distance between two ports in \frac{3}{7} hours.

In order to calculate what fraction of the distance between the two ports can the ferry travel in one hour we can do the following reasoning :

The rate of the ferry is the same at any time.

The ferry will travel \frac{1}{6} of the distance in \frac{3}{7} hours.

If we divide each fraction by 3 ⇒

\frac{\frac{1}{6}}{3}=\frac{1}{18} and \frac{\frac{3}{7}}{3}=\frac{1}{7}

We do this to obtain a ''1'' in the numerator of the second fraction (the hours fraction). Now, we can say that :

The ferry will travel \frac{1}{18} of the distance in \frac{1}{7} hours.

Finally, we multiply each fraction by 7 (in order to obtain the distance for 1 hour) ⇒

(\frac{1}{18}).7=\frac{7}{18} and (\frac{1}{7}).7=1

We found out that the ferry will travel \frac{7}{18} of the distance in 1 hour.

4 0
3 years ago
Find all solutions to the equation. -\dfrac{2}{x(x+2)}=\dfrac{x+3}{x+2}− x(x+2) 2 ​ = x+2 x+3 ​ minus, start fraction, 2, divide
Gnoma [55]

Answer:

x=-1

Step-by-step explanation:

We have been given an equation \frac{-2}{x(x+2)}=\frac{x+3}{x+2}. We are asked to find the solutions of our given equation.

First of all, we will cross multiply our given equation as:

-2(x+2)=x(x+2)(x+3)

Subtract x(x+2)(x+3) from both sides:

-2(x+2)-x(x+2)(x+3)=x(x+2)(x+3)-x(x+2)(x+3)

-2(x+2)-x(x+2)(x+3)=0

Now we will factor out (x+2).

(x+2)(-2-x(x+3))=0

(x+2)(-2-x^2-3x)=0

(x+2)(-(x^2+3x+2))=0

Now we will factor by splitting the middle term.

-(x+2)(x^2+2x+x+2)=0

-(x+2)(x+2)(x+1)=0

-(x+2)^2(x+1)=0

Now we will use zero product property and solve for x as:

-(x+2)^2=0,(x+1)=0

(x+2)=0,(x+1)=0

x=-2,x=-1

Now, we will check for extraneous solutions.

We can see that x=-2 will make both denominators zero because our function is not defined at  x=-2.

Therefore, the solution for our given equation is x=-1.

7 0
4 years ago
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<u>ANSWER: </u>

Jack picked 10 ears of corn. The amount of corn left is \frac{2}{5} ears of initial corn.

<u>SOLUTION: </u>

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Now the total corn present is 10 ears.

He and two of his sisters ate two each.

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Left over corn = \frac{remaining corn}{initial corn}

= \frac{4}{10} = \frac{2}{5}

Hence, the amount of corn left is \frac{2}{5} ears of initial corn.

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How many solutions does the following equation have 4 (3 + x) = 8 + 4x​
OLga [1]
It only has one solution.
5 0
3 years ago
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